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1 year ago

Forty percent of the 30 members of the drama club were members of the senior class

Mathematics

2 answers:

mash [69]1 year ago

6 0

Answer:

a. 12

b. 60%

Step-by-step explanation:

40% of 30 Use a decimal equivalent for 40% to multiply by 30.

.40 × 30

= 12

12 members of the club are seniors. (If the number was 50%, that would be half, so 15 people. So 12 people for the 40% seems reasonable! You don't want to accidentally calculate 120 or 1.2, checking for reasonableness is a good strategy.)

Assuming that the club is made up of all students and no animals or members of the community or intergalactic aliens. If 40% are seniors, then the rest are not seniors, that would be 60%. 60% of the club members are not seniors.

andriy [413]1 year ago

4 0

10%of30=3

3x4=12

A. 40%of 30=12 senior class members.

B. 60% of the class were not senior class members

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Leto [7]

$5x-2y+z=-1 \\ 2x+y+2z=6 \\ x-3y-z=-5$
firat we need to get two equation with two varibles let us work on x,y
so adding the first and last one will yield
$5x-2y+z=-1 \\ x-3y-z=-5 \\ -------- \\ 6x-5y=-6$
now we since we used the first and third we need to use the second to get a correct system.let us multiply the third by 2 then add the second and third
$x-2y-z=-5 \\ multiply2 \\ 2x-4y-2z=-10 \\ 2x+y+2z=6 \\ -------- \\ 4x-3y=-4$
now we have two equation with the variables x and y
$6x-5y=-6 \\ 4x-3y=-4$ you can solve it algebraically but you can see that the only solution possible is y=0 and x=-1 we have the values for x and y let us choose one of the three main equation and substitute to get z let us pick the first equation 5x-2y+z=-1-->5(-1)-2(0)+z=-1---->-5+z=-1-------->z=4
to make sure the system works let us check by substituting into the three equations
the first one will be 5x-2y+z=-1--->5(-1)-2(0)+4=-1---->-5+4=-1--->-1=-1 first equation holds
the second equation 3x+y+2z=6---->2(-1)+0+2(4)=6--->-2+8=-6--->-6=-6 second equation holds
the third equation x-3y-z=-5----->-1-3(0)-4=-5---->-1-4=-5--->-5=-5
our third equation also holds which makes our solution correct
x=-1,y=0,z=4

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3 years ago